Results 51 to 60 of about 3,735,457 (189)

Oscillatory Criteria for Higher Order Functional Differential Equations with Damping

open access: yesJournal of Function Spaces and Applications, 2013
We investigate a class of higher order functional differential equations with damping. By using a generalized Riccati transformation and integral averaging technique, some oscillation criteria for the differential equations are established.
Peiguang Wang, Hai Cai
doaj   +1 more source

Oscillation of Solutions to Third-Order Nonlinear Neutral Dynamic Equations on Time Scales

open access: yesMathematics, 2021
In this paper, we are concerned with the oscillation of solutions to a class of third-order nonlinear neutral dynamic equations on time scales. New oscillation criteria are presented by employing the Riccati transformation and integral averaging ...
Yang-Cong Qiu   +4 more
doaj   +1 more source

General Matrix Pencil Techniques for Solving Discrete-Time Nonsymmetric Algebraic Riccati Equations [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2010
A discrete-time nonsymmetric algebraic Riccati system which incorporates as special cases of various discrete-time nonsymmetric algebraic Riccati equations is introduced and studied without any restrictive assumptions on the matrix coefficients. Necessary and sufficient existence conditions together with computable formulas for the stabilizing solution
Marc Jungers   +3 more
openaire   +1 more source

A Subspace Shift Technique for Nonsymmetric Algebraic Riccati Equations

open access: yes, 2010
The worst situation in computing the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation associated with an M-matrix occurs when the corresponding linearizing matrix has two very small eigenvalues, one with positive and one with negative real part.
Iannazzo, Bruno, Poloni, Federico
openaire   +2 more sources

Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities

open access: yesDiscrete Dynamics in Nature and Society, 2012
Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.
Jing Shao, Fanwei Meng, Xinqin Pang
doaj   +1 more source

Forced oscillation of second order nonlinear dynamic equations on time scales

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2008
By means of the Kartsatos technique and generalized Riccati transformation techniques, we establish some new oscillation criteria for a second order nonlinear dynamic equations with forced term on time scales in terms of the coefficients.
M. Huang, W. Feng
doaj   +1 more source

Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order

open access: yesMathematics, 2023
In this research, we applied three techniques—the comparison technique, the Riccati technique, and the integral averages technique to analyze and establish various conditions and properties associated with the oscillatory behavior of even-order neutral ...
Maryam Al-Kandari
doaj   +1 more source

The Shifting Technique for Solving a Nonsymmetric Algebraic Riccati Equation

open access: yes, 2011
This paper analyzes a special instance of nonsymmetric algebraic matrix Riccati equations arising from transport theory. Traditional approaches for finding the minimal nonnegative solution of the matrix Riccati equations are based on the fixed point iteration and the speed of the convergence is linear.
Chiang, Chun-Yueh, Lin, Matthew M.
openaire   +2 more sources

Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations [PDF]

open access: yes, 2007
- One-shot methods and recently proposed multi-shot methods for computing stabilizing solutions of continuoustime periodic Riccati differential equations are examined and evaluated on two test problems.
Varga, Andreas   +2 more
core  

Acceleration of Oscillational Iterative Process to Solve the Riccati Equation [PDF]

open access: yes, 2020
P(論文)Several methods to solve the Riccati equation are proposed for the optimal regulator problem in modern control theory. In some cases, a solution of the Riccati equation is reached through iterative calculation.
カナマル, ヒデユキ   +1 more
core  

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